0=(x+5)(2x-3)

Simple and best practice solution for 0=(x+5)(2x-3) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 0=(x+5)(2x-3) equation: 


Simplifying
0 = (x + 5)(2x + -3)

Reorder the terms:
0 = (5 + x)(2x + -3)

Reorder the terms:
0 = (5 + x)(-3 + 2x)

Multiply (5 + x) * (-3 + 2x)
0 = (5(-3 + 2x) + x(-3 + 2x))
0 = ((-3 * 5 + 2x * 5) + x(-3 + 2x))
0 = ((-15 + 10x) + x(-3 + 2x))
0 = (-15 + 10x + (-3 * x + 2x * x))
0 = (-15 + 10x + (-3x + 2x2))

Combine like terms: 10x + -3x = 7x
0 = (-15 + 7x + 2x2)

Solving
0 = -15 + 7x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -7x + -2x2 = -15 + 7x + 2x2 + 15 + -7x + -2x2

Reorder the terms:
15 + -7x + -2x2 = -15 + 15 + 7x + -7x + 2x2 + -2x2

Combine like terms: -15 + 15 = 0
15 + -7x + -2x2 = 0 + 7x + -7x + 2x2 + -2x2
15 + -7x + -2x2 = 7x + -7x + 2x2 + -2x2

Combine like terms: 7x + -7x = 0
15 + -7x + -2x2 = 0 + 2x2 + -2x2
15 + -7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + -7x + -2x2 = 0

Factor a trinomial.
(3 + -2x)(5 + x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {1.5, -5}

See similar equations:

| 5x+7=x-13 | | 8(x-6)=-34+x | | 1+4x=-16-3x-7+x | | 7-4x=3x-8x | | 16x-48=16x-48 | | -9+3r=8r+1 | | -8n-3n+13=-3-7n-8n | | 50t=60[t-1] | | 21r^2+3r-2=0 | | -8+3b=-12+4b | | 49-11/12+7= | | -10=5(-4-2m) | | 3(8x-4)=6(5x-7) | | 8p+34=2(8p+5) | | -14-8x=3(8x+6) | | -4.5-20.5r=r-(7.5r+0.5) | | 4b-2=2b-2 | | -2+2m+2+5m=5+6m | | 9x+4=7x-8x+10 | | e^8x=2 | | 8(7t-12)=78t-2+7 | | 423=3(2-3h) | | 8(5y+4)= | | -7=2v+7 | | 5x+10conx=6 | | 16n+20=4(n+2) | | 7Y+-8=6Y+1 | | 3b-4b=4+b | | x+7=16x-7 | | 3x+31=x+3 | | 8p-5(p+3)=(7p-1) | | w^2+w=5 |

Equations solver categories